Final answer:
The operation requires factoring polynomials, simplifying algebraic fractions, and performing multiplication and division of fractions. Full details are not provided for a comprehensive step-by-step solution. Factoring, simplifying, and proper handling of algebraic expressions are essential.
Step-by-step explanation:
The question revolves around algebraic operations, specifically the division and multiplication of algebraic fractions (rational expressions). The student is asked to perform the indicated operations and simplify the complex fraction formed by the given expressions:
- (a2-7a-18)/(4a3)
- (a2-4a-45)/(2a3-4a2)
- (a2+3a-10)/(a2-4a+4)
To solve this problem, one needs to factor each polynomial, cancel common factors, and then multiply or divide the remaining expressions as required. It is essential to remember that exponents in a term, such as 4a3, apply to both the coefficient and the variable. The given expressions seem complex and might require factoring quadratic trinomials, finding common denominators, and simplifying before arriving at the final answer. Without complete information, it's not feasible to provide the exact steps, but understanding how to handle algebraic fractions is key to solving such problems.